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Finding the Fourth Proportional to 1,410.47, 1,945.01 and 1,170.81

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Solution

The fourth proportional to 1,410.47, 1,945.01 and 1,170.81 is: 1,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.47 : 1,945.01 = 1,170.81 : x
  2. Step 2: Convert to fraction form
    1,410.47/1,945.01 = 1,170.81/x
  3. Step 3: Cross multiply
    1,410.47x = 1,945.01 × 1,170.81
  4. Step 4: Simplify right side
    1,410.47x = 2,277,231.30
  5. Step 5: Solve for x
    x = 2,277,231.30/1,410.47
  6. Step 6: Final answer
    x = 1,614.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.